x^2+3x+a=0

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Solution for x^2+3x+a=0 equation:


Simplifying
x2 + 3x + a = 0

Reorder the terms:
a + 3x + x2 = 0

Solving
a + 3x + x2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-3x' to each side of the equation.
a + 3x + -3x + x2 = 0 + -3x

Combine like terms: 3x + -3x = 0
a + 0 + x2 = 0 + -3x
a + x2 = 0 + -3x
Remove the zero:
a + x2 = -3x

Add '-1x2' to each side of the equation.
a + x2 + -1x2 = -3x + -1x2

Combine like terms: x2 + -1x2 = 0
a + 0 = -3x + -1x2
a = -3x + -1x2

Simplifying
a = -3x + -1x2

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